We study the problem of assigning indivisible goods to individuals where each is to receive one object. To guarantee fairness in the absence of monetary compensation, we consider random assignments and analyse various equity criteria for such lotteries. In particular, we find that sd-no-envy (as...

Foster and Hart proposed an operational measure of riskiness for discrete random variables. We show that their defining equation has no solution for many common continuous distributions. We show how to extend consistently the definition of riskiness to continuous random variables. For many...